22-41 Vitali Vougalter, Vitaly Volpert

On the solvability of some systems of integro-differential equations with concentrated sources (177K, pdf) Aug 4, 22

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Abstract. The article is devoted to the existence of solutions of a system of integro-differential equations in the case of the normal diffusion and the influx/efflux terms proportional to the Dirac delta function. The proof of the existence of solutions relies on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains.

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